A1 Journal article (refereed)
Geodesic ray transform with matrix weights for piecewise constant functions (2020)

Ilmavirta, Joonas; Railo, Jesse (2020). Geodesic ray transform with matrix weights for piecewise constant functions. Annales Academiae Scientiarum Fennicae-Mathematica, 45 (2), 1095-1102. DOI: 10.5186/aasfm.2020.4558

JYU authors or editors

Publication details

All authors or editors: Ilmavirta, Joonas; Railo, Jesse

Journal or series: Annales Academiae Scientiarum Fennicae-Mathematica

ISSN: 1239-629X

eISSN: 1798-2383

Publication year: 2020

Volume: 45

Issue number: 2

Pages range: 1095-1102

Publisher: Suomalainen tiedeakatemia

Publication country: Finland

Publication language: English

DOI: http://doi.org/10.5186/aasfm.2020.4558

Open Access: Publication published in an open access channel

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/71316


We show injectivity of the geodesic X-ray transform on piecewise constant functions when the transform is weighted by a continuous matrix weight. The manifold is assumed to be compact and nontrapping of any dimension, and in dimension three and higher we assume a foliation condition. We make no assumption regarding conjugate points or differentiability of the weight. This extends recent results for unweighted transforms.

Keywords: inverse problems

Free keywords: geodesic ray transform; matrix weight; integral geometry

Contributing organizations

Related projects

Ray tomography for imaging the Earth
Ilmavirta, Joonas
Academy of Finland
Centre of Excellence in Inverse Problems Research
Salo, Mikko
Academy of Finland

Ministry reporting: Yes

Last updated on 2020-03-08 at 11:08